1. Is DRS really the way to go? DFV didn't DRS his shares, never mentioned this in any tweet or during the stream. He clearly knows about it, but remains on E-Trade.
2. RC seems to counter our efforts to lock the float? We already hit the plateau on DRS count, now the float increased twice. Our goal was to lock the float in 1-2 years from the past calculations and expectations. That already seems off the books now (pun intended).
3. There was no mention of DRS count on the 8K Q1 report, they should have this number by now, any reason to this?
4. Is DFV lending his shares? Pay attention to his YOLO updates, after a week his cash position increased by 133k USD. So he either deposited 133k (seems odd???), or he lends the shares and gets paid for that.
5. Will RC stop any rapid price increase with ATM? He hasn't done it for 3 years since 2021 until now, and price has ran up many times! Now it's twice and right into DFV position. DFV seems unfazed, he even mentioned ATM on his recent tweets before the offerings dropped. He probably knew? He doesn't think that RC betrayed him and dumped on him? Or he just has already 300M USD, so he won't worry about few million less or more... What's a few million among friends? For now, it feems like long-term succesful business, but MOASS is off the books.

Fun SWADE math that I've broken down myself

• *: used to mean multiply when coding to avoid confusion with x as a variable
• ^: this is used to represent exponents in plain text without the need for special formatting. x^y means x raised to y, or x multiplied by x repeatedly y times.
• % (when used in an expression): modulo, for our purposes you can just think of this as getting the "remainder" of a division (like we did in elementary math before learning proper fractions and decimals)
• floor(): a function that rounds down whatever is in the parentheses that follow it

• n: number of sides on the die
• t: target number to beat

• 1: represents a 100% chance of success, we are subtracting from that to remove the odds of failure
• t-1: when it comes to target numbres, "meets beats" - so the highest number that fails is 1 less than t
• / n: n is our total number of die sides, but also the total number of results without explosions
• So (t-1) is the number of results which fail out of n total results
• In this case t cannot be greater than n, since the die isn't yet exploding.

• The odds of rolling a 4 is 1/n = 1/4
• The odds of rolling a 2 is 1-((t-1)/n) = 1-((2-1)/4) = 1-(1/4) = 3/4
• To combine these odds together (roll a 4 and then roll a 2 or higher) we multiply the numbers together
  • (1/4) * (3/4) = 3/16 = 0.1875

• x = floor(t / n)

• y = ((t-1) % n) + 1

• Success Odds (p) = ((1/n) ^ x) * (1 - ((y-1) / n))
• x = floor((t-1) / n)
• y = ((t-1) % n) + 1
• p = ((1/n) ^ floor((t-1) / n)) * (1 - (( (((t-1) % n) + 1) - 1) / n))
• p = ((1/n) ^ floor((t-1) / n)) * (1 - (( (t-1) % n ) / n))

• p = ((1/n) ^ floor((t-1) / n)) * (1 - ( ( (t-1) % n ) / n))
• p = ((1/4) ^ floor((6-1) / 4)) * (1 - ( ( (6-1) % 4 ) / 4)) plug in values for n and t
• p = (.25 ^ floor(1.25)) * (1 - (( 5 % 4 ) / 4)) reduce simple operations
• p = (.25 ^ floor(1.25)) * (1 - (1 / 4)) get remainder using modulo
• p = (.25 ^ 1) * (1 - (1 / 4)) round down using floor
• p = .25 * .75 reduce, this should now look like our original breakdown we did without a formula
• p = .1875 (or 18.75% chance of success)

• p = ((1/n) ^ floor((t-1) / n)) * (1 - ( ( (t-1) % n ) / n))
• p = ((1/6) ^ floor((18-1) / 6)) * (1 - ( ( (18-1) % 6 ) / 6)) plug in values for n and t
• p = (0.166 ^ floor(2.833)) * (1 - ( ( 17 % 6 ) / 6)) reduce simple operations
• p = (0.166 ^ floor(2.833)) * (1 - (5 / 6)) get remainder using modulo
• p = (0.166 ^ 2) * (1 - (5 / 6)) round down using floor
• p = (0.166 ^ 2) * 0.166 reduce right side of multiplication, notice that we have multiplied by the same value 3 times overall (as expected since t=3n in this case)
• p = 0.0046 (or 0.46% chance of success)

• na: number of sides on the first die
• nb: number of sides on the second die
• nc: number of sides on the third die
• ... (and so on) ...
• t: target number to beat

• Odds of failure for a given die is then f = 1 - P(n)
• Odds of failure for all of the dice would be: (1 - P(na)) * (1 - P(nb)) * ...
• And then finally we invert that combined value again to get the odds of success for any of the dice:
• p = 1 - ( (1 - P(na)) * (1 - P(nb)) * ... )
• (There is fancy math notation for operating on a set of numbers like this but it really doesn't benefit us any to use it here)

• p = 1 - ( (1 - P(na)) * (1 - P(nb)) * ... )
• p = 1 - ( (1 - P(na)) * (1 - P(nb)) ) only two dice, remove the ...
• Let's first determine P(na):
• P(na) = ((1/na) ^ floor((t-1) / na)) * (1 - ( ( (t-1) % na ) / na))
• P(na) = ((1/4) ^ floor((10-1) / 4)) * (1 - ( ( (10-1) % 4 ) / 4)) I'm going to skip describing these steps since we've done it a lot
• P(na) = (.25 ^ floor(2.25)) * .75 And also I'll do a lot of this stuff at once
• P(na) = (.25 ^ 2) * .75
• P(na) = 0.046
• Let's now figure out P(nb):
• P(nb) = ((1/nb) ^ floor((t-1) / nb)) * (1 - ( ( (t-1) % nb ) / nb))
• P(nb) = ((1/6) ^ floor((10-1) / 6)) * (1 - ( ( (10-1) % 6 ) / 6))
• P(nb) = ((1/6) ^ floor((10-1) / 6)) * .5
• P(nb) = 0.166 * .5
• P(nb) = 0.083
• Returning to the original formula for the combined probability
• p = 1 - ( (1 - P(na)) * (1 - P(nb)) )
• p = 1 - ( (1 - 0.046) * (1 - 0.083) ) plugging in the values
• p = 1 - ( 0.9531 * 0.9166 ) changing to odds of failure
• p = 1 - 0.8736 odds of all the dice failing
• p = 0.1264 or 12.64% chance of success for at least one of the dice, note that this is higher than either of the dice individually, as would be sensible

Things I'm still working on learning/explaining

• average = (n * (n+1)) / (2 * (n - 1))

• average = (n * (n+1)) / (2 * (n - 1))
• average = (6 * (6+1)) / (2 * (6 - 1))
• average = (6 * 7) / (2 * 5)
• average = 42 / 10
• average = 4.2

1. There is absolutely somewhere between ZERO and NEGATIVE NINE-THOUSAND PERCENT chance that the show is truly over. I have read a lot of opinions from those of you who said this first, and agree with most of them. But one factoid that I have not specifically seen yet (sorry if I missed) is that Isayama is YOUNG. It is obvious in hindsight that he did not have all of the answers / a 0-100% plot for AoT on day 1 or even on year 10. He more than likely STILL does not know how this is really going to end. And that is OK, because he has more than half of his life and potentially another three-quarters of his professional life to figure it out, all while continuing to improve his skills and capacity.
2. I love the KFT. LOVE IT! And it is quite possible that even Isayama wishes that he had thought of it. But I do agree that it won't happen, for the very simple reason that there is no way that he is going to let someone else finish his story. KarlFritzTheory, y'all are amazing and please keep it up, I am creeping both your sub and your Discord in hopes that more is cooking. And I do hope that you will receive some acknowledgement or nod from Isayama (if not already communicated). But you are not going to be finishing this man's story. And that is also OK.
3. Being able to successfully avoid spoilers / discussions did allow me to develop and hone quite a few of my own theories (mostly between me and my cat, who is a Levi Ackerman fanboy furrr suuure). Probably the most outlandish of these related to the source of the titans - I figured out pretty quickly that they were people, but was waiting for a reveal along the lines of brandonsanderson 's writing, where there is always another secret hidden in plain sight amidst the mundane mechanics of the world. It was definitely somewhat jarring + a bit of a letdown to learn that Paradis was actually a prison containing just a tiny fraction of humanity, but I quickly came around ( +realized where Isayama was getting ready to go all the way thru most of the last season) with the next reveal that the Warriors + a big chunk of the rest of humanity were also Eldians. However, one thing that has stuck from my cat convos that I would like to share today and will continue to touch on in the below - guys do we really know ANYTHING about this world? It is so easy to think that we already have all of the answers (just look at any scientist or priest), BUT DO WE REALLY?!! My "evidence" in support as follows:
   • Thus far, although it has been stretched in quite a few ways, we have really only seen ONE supernatural entity (Mr. Caterpillar!) in what is clearly a very supernatural world. But wait...the Founding Titan - titan in SINGULAR, yes I get that her daughters absorbed her power, then were subsequently bred like pigs and ultimately consumed by their children once it was confirmed that this was the key to be able to transform at will & retain sentience. But WAIT, titan in SINGULAR, daughterS in PLURAL. So what is NOT said but clearly implied is that consuming just PART of a Warrior can create a FULL shifter. Sorry - I guess I temporarily forgot Zeke's spinal fluid which does not leave its imbibers with sentience. OR. SO. WE. HAVE. BEEN. TOLD. By literally some of the most unreliable witnesses (witting and unwitting) that could possibly exist!
   • All of that brings me back to a very early theory that I had which still makes sense to me because it invokes Occam's Razor (the simplest explanation...) - I feel that it is extremely likely that we will learn at some point that there is absolutely ZERO difference between a "titan shifter" and a "pure titan" apart from the contents of their brains. We already saw how this prospectively works where the will of Karl Fritz essentially takes over the host of the Founding Titan (OR SO WE WERE TOLD - personally hope that this is where KarlFritzTheory will have a callback instead). And we have heard the characters state that the mind-meld has to do with royal blood, BUT DOES IT REALLY?! Zeke's royal blood - BUT DID IT REALLY DO ANYTHING?! And even if the royal blood was something that Isayama was leaning on as an uncomplicated and innately understandable vehicle by which to drive the plot, it would be absolute child's play to stage a reveal of an entirely different system that has been in play for this whole time.
   • My feel is that while the "upgrade" of a human to a titan certainly does require a catalyst (let's say to "call" Y'mir to the COORDINATE to do the sculpting), the will of said person does NOT get overridden with routine mindless cannibalism, but rather they (ALL of them) RETAIN their will and ARE IN FULL CONTROL. We have already seen many hints of this...***coughs in Abnormal***, and I strongly believe Ymir lied thru her teeth about being in a waking nightmare - like she literally celebrated when she woke up as a human again (b*tch you just ate somebody). So yes, unfortunately because it is quite shocking to think about, I expect that we will at some point find out that even the "full" titans are just everyday people who are very vigorously trying to make the best of a Very Bad Situation, albeit at a diminished capacity than the other "full" titans whose endowment came with either an extremely strong will (***coughs in Abnormal***) and/or the memories and instincts of the previous holder to "teach" them how to pull their consciousness back into the nape to reform their human body. Why are some of these folks roleplaying zombies from 28 days and others are happy to chill under a tree and stare at you? And did we not assume that we already knew enough about the world to not have to ask this question?
     • More specific meanderings on the above,: my very depressing extension of my original theory is that each human who is catalyzed by a COORDINATE is immediately whisked away to the Paths, where they spend a lifetime being brainwashed into soldiers. So pretty much Ymir makes nazis, then sends them back all swole and stuff. But wait, is it JUST her? Hells y'all, there may even be a whole KINGDOM / WORLD inside of the Paths by now, an entire society that actually performs the work to turn an "I am sentenced to death" human into a "GIMME DAT SPINAL FLUID NAO" killing machine. And following this theory to where the show left off, the supernatural steam energy which seemingly creates / fuels titans (remember, matter can be neither created nor destroyed) is something that flows directly from this Paths-world into each COORDINATE. So although we have been told that Y'mir has passed on along with the Power of the Titans....nah bois "she" just turned off the gas. Whether this was because Mikasa's decision freed herself of "her" own brainwashing or something else entirely that still links back to Mikasa and Eren...I imagine we will find out soon
4. Can we talk about how one of nine "modern" titans is kind of a BIG deal (hello Armin!), but also that there were a MILLION just like him? One of the Nine was really one of the Million And One Plus Eight? Naw man. Would have been cool to catch up with these guys after they reverted back to humans with the rest. Except, they DIDNT?! Y'all. We have absolutely NO idea how this world really works.
   • This is another reason for why I believe that the world of the Paths is a more persistent and developed one than has yet to be revealed. And that fully-trained shifters are able to somehow navigate it should they successfully reform their bodies or whatever is required. Maybe it is as simple as "lesser-trained shifters such as the Warriors maintain their body thru the shift whereas Paths-trained shifters don't need the crutch or have forgotten how. Either way, the nape being a weak spot has been a universal mechanic that will probably be sustained / retained, maybe by revealing that the "steam energy" stuff that fuels all titans requires the presence of the parasite creature and ceases to flow if it is killed or damaged, and that it is this creature being present in the spinal cord that creates a COORDINATE.
5. When I saw Sasha appear in the finale, I leapt out of my chair. EVERYONE IS ALIVE / BEING REVIVED FROM THE RUMBLING, CLEANUP PARTY IN THE WORLD! Then I got a bit sad, because that ending would have sucked + been the definitive end of everything... Then she faded away and I continued to stay sad. Except, faded away. Just like Y'mir. Except. Sasha. Never. Transformed. She had to have ostensibly come from the Paths. How did she get there? Where did she go? Why is she the only one besides Y'mir that physically manifested in a manner that was seen by multiple people? I will say it again, we have Absolutely No Idea how this world really works. And no, I do not believe at all that Sasha's appearance was symbolic; more likely that we will learn that, in this universe, the concept of death is...flexible (I mean we kind of already know that this is probably the case).
6. On Eren...
   • Do I think that our boy is still alive? Honestly, I kind of hope that he isn't - there are plenty of excellent characters left over to carry on + new ones that will surely be introduced. More on this later.
   • Did he really kill 80% of humanity? I kinda doubt it, although he certainly did quite a bit of damage.
   • Was he at any point in time telling the cast and us the complete entire truth? Hells no. The scene with Armin where he "admits" that he is just a big ol' college hunk-level idiot with too much power was EXTREMELY jarring to me because at no point in the entire show did I get this impression. Eren was driven, calculated and passionate, and fell into pretty much every common trope for a leading protagonist. Eren was absolutely NOT stupid, and certainly learned from experience how to manipulate and influence others. I just rewatched that scene and could not help but laugh at the absurdity - too bad that we can't; tell if that is his poker face.
   • AND NOW, going back to the whole Fading Away bit from 4 - so are we really to believe that Sasha got to pop out and say hi, whereas Eren just wanted to nestle in dem Mikasa bitties / decided to wear feathers instead of his face? Nah man. Again, death is likely flexible; theoretically possible that Y'mir / Paths universe saved or transported everyone who was on brink of death although not sure if I will like the big-time softening of the story / stakes if this is the case. But there IS flexibility. Which has to mean that there is a flexibility mechanic that has only started to be revealed. And yep, we will inevitably see Eren's toothy grin again, and the reveal / redemption arc is going to have to be Absolutely Awesome to work. Feels like Isayama can pull it off tho, and anyways he has no choice since it's probably the only way that he's ever going to top Season 5 (you got this bro, no pressure!)

• The heroes have as of this point in time effected some combination of befriended, tamed, maimed, munched and/or beheaded ALL of the villains. Right?
• Ymir Fritz
• The incredible and unprecedented (?) healing of Zeke
• Various shit that we do not yet know or understand
• Death is most likely a mere setback to some
• There is possibly a separate force that brainwashes COORDINATEd Eldians while Ymir is "buffing" them. One that is VERY good at brainwashing.
• ...
• .....
• C'mon guys, do we REALLY believe that Ymir just let her OG boo up and DIE OF OLD AGE? Creepster got HELLA infested with dem caterpillar stuffs on an early attempt to practice for Zeke down the road, or my lunch money is yours. And I think that we may have even seen him (re)introduced already, but I will hold on to that for now (***coughs in Attack on Titan***).

July 27, 1347 EDT: Billions are dead from the Knox Infection across the globe. July 28, 1200 EDT: Almost everyone falls to the Knox Infection. Only small groups of immune survivors remain.

2,000,000,000 * x ^ 0.926 = 5,528,200,000
( 5.5 / 2.0 ) ^ ( 1 / 0.926 ) = 2.999

July 24, 1200 EDT: The majority of Earth's population are now sick with the Knox Infection.

1. Using the same exponent, we can calculate the point at which the Earth’s population is majority dead: July 27 20:51. The difference between this and the majority sick date is Knox’s average terminal period: 3.37 days (3d 9h)
2. Working backwards from the majority sick date to the first infection, it took 19.5 days to infect half the world. That implies Patient Zero was infected at 5:04 pm on July 4, just as people were firing up barbeques.

July 24, 1200 11:56 EDT: The majority of Earth's population are now sick with the Knox Infection.

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• 5) Provide you with the contact information of students who have utilized my services in the past who would be more than willing to vouch for my skills.

• I certainly wouldn’t do it for such paltry amounts of money. (i.e., anything less than $1,000 per victim.)
• I certainly wouldn’t choose high school & college students as my “target audience” to scam, considering that most people without college degrees have abysmally low annual incomes. Why choose low-income victims when it would be much more profitable to target high-income, high-net-worth individuals earning at least six figures a year? I have knowledge in business consulting, and I promise you that a business owner would be a MUCH more lucrative mark than a low-income college student.
• I wouldn’t choose such a time & energy-draining method of scamming people. Also, communicating back and forth with potential clients is an absurdly long time sink since only less than 10% of all potential clients who reach out to me actually become paying clients of mine. This means that 90% of my time communicating with potential clients ultimately proves to be a colossal waste of my irretrievable time & energy.
• If you pay me to provide academic services and I don’t deliver, you can always dispute the payment with the payment app and easily get your money refunded. If I were in the habit of swindling money from people, then all of my payment accounts would have been investigated and be completely shut down by now. And I would have been permanently banned from opening new accounts. Therefore, the fact that all my payment apps have been fully active for years should be sufficient proof that I haven’t had people consistently disputing payments sent to me.

• I take my work as a tutor very seriously, and I always aim to do my best to help my students excel in school. I have a solid and sincere passion for academic achievement, and with my help, I am positive that I can help students obtain very high grades with minimal stress and effort.
• Please feel free to contact me if you're interested in my services and would like to learn more. I'm available 24/7 via phone call, email, and text. Again, thank you for taking the time to read my Reddit tutoring ad, and I hope to hear from you soon!